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220354201408 = 26114725725913
BaseRepresentation
bin1100110100111000100…
…0100100011101000000
3210001202212022020201211
43031032020210131000
512102241133421113
6245121311135504
721630403544035
oct3151610443500
9701685266654
10220354201408
11854a7224a60
1236858214594
1317a191c1433
14a94544938c
155aea358b3d
hex334e224740

220354201408 has 112 divisors (see below), whose sum is σ = 489080519424. Its totient is φ = 97644707840.

The previous prime is 220354201391. The next prime is 220354201429. The reversal of 220354201408 is 804102453022.

It is a self number, because there is not a number n which added to its sum of digits gives 220354201408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8490660 + ... + 8516572.

It is an arithmetic number, because the mean of its divisors is an integer number (4366790352).

Almost surely, 2220354201408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220354201408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244540259712).

220354201408 is an abundant number, since it is smaller than the sum of its proper divisors (268726318016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220354201408 is a wasteful number, since it uses less digits than its factorization.

220354201408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26240 (or 26230 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 220354201408 in words is "two hundred twenty billion, three hundred fifty-four million, two hundred one thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 176 188 257 352 376 514 517 704 752 1028 1034 1504 2056 2068 2827 3008 4112 4136 5654 8224 8272 11308 12079 16448 16544 22616 24158 25913 33088 45232 48316 51826 90464 96632 103652 132869 180928 193264 207304 265738 285043 386528 414608 531476 570086 773056 829216 1062952 1140172 1217911 1658432 2125904 2280344 2435822 4251808 4560688 4871644 6659641 8503616 9121376 9743288 13319282 13397021 18242752 19486576 26638564 26794042 38973152 53277128 53588084 73256051 77946304 106554256 107176168 146512102 213108512 214352336 293024204 313003127 426217024 428704672 586048408 626006254 857409344 1172096816 1252012508 2344193632 2504025016 3443034397 4688387264 5008050032 6886068794 10016100064 13772137588 20032200128 27544275176 55088550352 110177100704 220354201408